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XLeratorDB/statistics Documentation

SQL Server GAMMA.INV function


 
Updated: 9 August 2010
Use GAMMAINV to calculate the inverse of the cumulative gamma distribution.
 
Syntax
SELECT [wctStatistics].[wct].[GAMMAINV] (
   <@Probability, float,>
 ,<@Alpha, float,>
 ,<@BETA, float,>)
Arguments
@Probability
is the probability associated with the gamma distribution. @Probability is an expression of type float or of a type that can be implicitly converted to float
@Alpha
is the alpha parameter to the distribution. @Alpha is an expression of type float or of a type that can be implicitly converted to float
@BETA
is the beta parameter to the distribution. @BETA is an expression of type float or of a type that can be implicitly converted to float
Return Types
float
Remarks
·         If @Alpha ≤ 0 or @BETA ≤ 0, GAMMAINV returns an error.
·         If @Probability < 0 or @Probability > 1, GAMMAINV returns an error.
·         GAMMINV uses root-finding algorithms and iteration to satisfy the condition that
GAMMADIST (GAMMAINV(@Probability, @Alpha, @Beta), @Alpha, @Beta, 'True')-@Probability = 0 to eight decimal places.
Examples

select
wct.GAMMAINV(0.0680940037098249,9,2)

This produces the following result
----------------------
10.00001131
 
(1 row(s) affected)

select
round(wct.GAMMADIST(wct.GAMMAINV(0.0680940037098249,9,2),9,2,'True')-0.0680940037098249, 8)

This produces the following result
----------------------
0
 
(1 row(s) affected)
See Also
·         BETADIST - beta distribution


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